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valkas [14]
3 years ago
14

The radius of a sphere X is 3 inches, and radius of sphere Y is 9 inches. How many

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

The volume of the sphere Y is 27 times the volume of the sphere X

Step-by-step explanation:

Sphere X:

Radius of sphere X = 3 inches

Volume = (4/3) π(27)

Sphere Y:

Radius of sphere Y = 9 inches

Volume = (4/3) π(729)

Volume of sphere Y /volume of sphere X = (4/3) π(729) /(4/3) π(27)

= (729) /(27)

= 27

The volume of the sphere Y is 27 times the volume of the sphere X

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What is the 22nd term of the arithmetic sequence 12, 17, 22, 27, …?
melomori [17]
In simple words you just find what is being added to each term in order to get the next term. Subtracting 17 by 12 you get 5, 22 minus 17 is 5 as well. Now that what is being added is found, you go by the last term given which is 27. You keep adding 5 to the number until you get to the 22nd term which would result in 117. If you would want to know the equation in order for it to be plugged in then you would use f(x)= 7+5x . You would want to use this equation instead of f(x)= 12+5x because putting 1 as x would make it equal to 17 which is NOT the first term but the second.
4 0
3 years ago
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The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha
elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = \frac{x - mean}{standard deviation}

z = \frac{1200-1028}{92}

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0
3 years ago
The moon has a radius of
oee [108]

Answer:

The volume of a sphere varies with the cube of the radius.  Since the Earth is 3.67 times the moon's radius (6371/1736), it has 49.4 times the volume.

Hope this helps...Mark as brainliest pls!!

5 0
3 years ago
Please help 10 FREE POINTS!!!!
Maurinko [17]

Answer:

364.5

Step-by-step explanation:

you would need a calculator for it, unless you can do exponential math at such a degree... if you're using a PC there's a good graphing calculator at Desmos.com, it can show you how a graph looks, which shows that when n is 7, the answer is 364.5. also it wouldn't be 1093.5 because the exponent is n-1 which means that while n could be 7, you need to take away 1 before using it as an exponent.

7 0
2 years ago
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Help me please Thanks
Klio2033 [76]
The answer is 1;3 because if you simplified 2;6 you get 1;3 so the answer to that is
a: 1;3
4 0
3 years ago
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